15361 ÷ 53 
We're looking to find how many times 53 goes into 15361.

Advancing to step 1:
If we divide 1 by 53, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 53

Advancing to step 2:
15 divided by 53 is 0 with a remainder of 15.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Include the next digit (3) from the dividend after 15, then repeat: 153 / 53

Let's proceed to step 3:
53 can be fit into 153 2 times, resulting in a remainder of 47.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 106 from 153 to get 47.
Append the next digit (6) from the dividend to 47 and continue with: 476 / 53

Advancing to step 4:
The number 53 fits into 476 8 times, leaving a remainder of 52.
The next digit of our result is 8. 
Result so far: 28.0
Subtracting 424 from 476 leaves us with 52.
Fetch the next digit (1) from the dividend, attach it to 52 and continue: 521 / 53

Moving on to step 5:
When dividing 521 by 53, we get 9 with a remainder of 44.
Use 9 as the next digit of our solution. 
Result so far: 289.0
Subtract 477 from 521 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 6:
If we divide 440 by 53, we get 8 and a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 289.8
If we take 424 away from 440, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
If we divide 160 by 53, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 289.83
Subtracting 159 from 160 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
53 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 289.83
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
53 can be fit into 100 1 times, resulting in a remainder of 47.
Record the quotient 1 as the next digit in the result. 
Result so far: 289.8301
If we take 53 away from 100, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 10:
53 can be fit into 470 8 times, resulting in a remainder of 46.
Record the quotient 8 as the next digit in the result. 
Result so far: 289.83018
Subtract 424 from 470 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 11:
The number 53 fits into 460 8 times, leaving a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 289.830188
Subtracting 424 from 460 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The quotient of the division is 289.830188, and the remainder is 3.6e-06.